Elimination Review

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the solution of the remaining variable.

Front

What is the first step in using elimination to solve the system: 2x + 2y = -2 and 3x - 2y = 12?

Back

Cross out the 2y and -2y because when you add them, they equal 0.

Front

Which variable is typically eliminated in the system: 2x + 2y = -2 and 3x - 2y = 12?

Back

The y's are typically eliminated.

Front

How do you check if a point is a solution to a system of equations?

Back

Substitute the x and y values of the point into both equations. If both equations are satisfied, the point is a solution.

Front

Is (-3, -7) a solution to the system: y = 4x + 5 and y = x - 4?

Back

YES, it satisfies both equations.

Front

Is (1, 10) a solution to the system: y = 7x + 5 and y = x + 9?

Back

NO, it does not satisfy both equations.

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system has no solutions.

Front

What is the solution to the system: -9x - 4y = -20 and 5x + 4y = 4?

Back

The solution is (4, -4).

Front

What is the purpose of rearranging equations in the elimination method?

Back

Rearranging equations can help align coefficients for easier elimination of variables.